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Finding the Third Proportional to 134,979 and 209,544

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Solution

The third proportional to 134,979 and 209,544 is: 325,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,979 : 209,544 = 209,544 : x
  2. Step 2: Convert to fraction form
    134,979/209,544 = 209,544/x
  3. Step 3: Cross multiply
    134,979x = 209,544 × 209,544
  4. Step 4: Simplify right side
    134,979x = 43,908,687,936
  5. Step 5: Solve for x
    x = 43,908,687,936/134,979
  6. Step 6: Final answer
    x = 325,300.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.